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Inverse Trigonometric Functions question

2022 · 24 Jun · Shift 2 · Q22

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2022 · 24 Jun · Shift 2 · Q22

Inverse Trigonometric Functions question

2022 · 24 Jun · Shift 2 · Q22

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

Let

x * y = {x^2} + {y^3}

and

(x * 1) * 1 = x * (1 * 1)

. Then a value of

2{\sin ^{ - 1}}\left( {{{{x^4} + {x^2} - 2} \over {{x^4} + {x^2} + 2}}} \right)

is :

A
${\pi \over 4}$
B
${\pi \over 3}$
C
${\pi \over 2}$
D
${\pi \over 6}$

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